All Triangles are equal to 180° on a plane surface no triangle is equal to 180° on a curved surface.
Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
Answer:
log x^13.
Step-by-step explanation:
Using the laws of logarithms
a log b = log b^a and log a + log b = log ab:
3 log x^2 + 7 log x
= log (x^2)^3 + log x^7
= log x^6 + log x^7
= log (x^6*x^7)
= log x^13.
D. (5,-21) would be your answer
